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Finding the Third Proportional to 16,242 and 35,400

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Solution

The third proportional to 16,242 and 35,400 is: 77,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242 : 35,400 = 35,400 : x
  2. Step 2: Convert to fraction form
    16,242/35,400 = 35,400/x
  3. Step 3: Cross multiply
    16,242x = 35,400 × 35,400
  4. Step 4: Simplify right side
    16,242x = 1,253,160,000
  5. Step 5: Solve for x
    x = 1,253,160,000/16,242
  6. Step 6: Final answer
    x = 77,155.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.